10251146700 has 144 divisors (see below), whose sum is σ = 33122880000. Its totient is φ = 2719759680.

The previous prime is 10251146699. The next prime is 10251146747. The reversal of 10251146700 is 764115201.

It is a happy number.

10251146700 is a `hidden beast` number, since 102 + 511 + 46 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527761 + ... + 546839.

It is an arithmetic number, because the mean of its divisors is an integer number (230020000).

Almost surely, 2^10251146700 is an apocalyptic number.

10251146700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10251146700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561440000).

10251146700 is an abundant number, since it is smaller than the sum of its proper divisors (22871733300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10251146700 is a wasteful number, since it uses less digits than its factorization.

10251146700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19301 (or 19288 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10251146700 in words is "ten billion, two hundred fifty-one million, one hundred forty-six thousand, seven hundred".